The leg of a right triangle = 14 cm and the cosine of the opposite angle = 24/25. Find other sides of this triangle

Let us determine what value the sine of the opposite angle will equal if from the condition of our problem we know for sure that its cosine is 24/25:

√ (1 – (24/25) ^ 2) = √ (1 – 576/625) = √ (49/625) = 7/25.

Let us determine what the hypotenuse in our triangle will equal if from the condition of our problem we know for sure that the length of the known leg is 14 centimeters:

14: 7/25 = 50.

Let’s determine what the second leg will be equal to in this case:

50 * 24/25 = 48.

Answer: The second leg is 48 cm, and the hypotenuse is 50 cm.